Unicity Theorems for Meromorphic Functions and their Derivatives

被引：0
作者：
Jianming Chang
Mingliang Fang
Degui Yang
机构：
[1] Nanjing Normal University,Department of Mathematics
[2] Changshu Institute of Technology,Department of Mathematics
[3] South China Agricultural University,Department of Applied Mathematics
来源：
Computational Methods and Function Theory | 2005年 / 4卷 / 2期
关键词：
unicity; small function; 30D35;
D O I：
10.1007/BF03321071
中图分类号：
学科分类号：
摘要：
Let f be a non-constant meromorphic function satisfying f f′ ≠ 0, and let a α ≢ 0 be a small function related to f. If f(z) = a(z) whenever f′(z) = a(z), then either f ≡ f′ or f(z) = 2a/(1 − ce−2z), where a, c are two non-zero constants and a(z) ≡ a.
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页码：299 / 314
页数：15
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